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Finding the Fourth Proportional to 135.77, 187.35 and 80.47

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Solution

The fourth proportional to 135.77, 187.35 and 80.47 is: 111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.77 : 187.35 = 80.47 : x
  2. Step 2: Convert to fraction form
    135.77/187.35 = 80.47/x
  3. Step 3: Cross multiply
    135.77x = 187.35 × 80.47
  4. Step 4: Simplify right side
    135.77x = 15,076.05
  5. Step 5: Solve for x
    x = 15,076.05/135.77
  6. Step 6: Final answer
    x = 111.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.